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Finding the Fourth Proportional to 836.77, 1,154.67 and 522.07

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Solution

The fourth proportional to 836.77, 1,154.67 and 522.07 is: 720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.77 : 1,154.67 = 522.07 : x
  2. Step 2: Convert to fraction form
    836.77/1,154.67 = 522.07/x
  3. Step 3: Cross multiply
    836.77x = 1,154.67 × 522.07
  4. Step 4: Simplify right side
    836.77x = 602,818.57
  5. Step 5: Solve for x
    x = 602,818.57/836.77
  6. Step 6: Final answer
    x = 720.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.